The most cost effective company will be:
$75.00
25 hours
Painting USA: Fixed Cost: $75; Variable Cost: $25x
Total Cost = 75 + 25(25) = 75 + 625 = 700
Upscale Home Painting: Fixed Cost: $0; Variable Cost: $40x
Total Cost = 40(25) = 1,000
The most cost effective company will be Painting USA whose charges will amount to $700
The cost of painting the house will be the same for both companies if the number of hours required to paint Paul's house is:
Painting USA:
Total Cost: 75 + 25(25) = 75 + 625 = 700
Upscale Home Painting
Total Cost: 40(16.5) = 40 + 660 = 700
The cost of painting the house will be the same for both companies if the number of hours required to paint Paul's house is approximately between 16.5 and 25 hours.
just look the question it's there
Answer:
a matrix with 1's in the main diagonal and zeros everywhere. The identity matrix of order 2×2 is: [1 0 0 1].
The 2x2 identity matrix is a square matrix with 1s on the main diagonal and 0s elsewhere. It serves as the multiplicative identity in matrix multiplication, leaving the original matrix unchanged when multiplied.
In mathematics, the 2x2 identity matrix, denoted by the symbol I or Id, is a square matrix containing elements that make it act as the multiplicative identity in matrix multiplication. Specifically, a 2x2 identity matrix is written as:
I = [1, 0; 0, 1]
Here, the numbers 1 are positioned on the main diagonal from the top-left to bottom-right (also termed as principal diagonal). The other elements, outside the main diagonal, are 0. This particular configuration results in special properties such as, when any matrix is multiplied by the identity matrix, the original matrix is unchanged. So, if we have a 2x2 matrix A, then multiplying by the identity gives AI = IA = A.
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Answer:
89.84375
Step-by-step explanation:
Given that on a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93.
To find weighted mean.
Here weights can be considered as number of majors in each subject
Weighted total = 1350+595+930 = 2875
Weighted mean = weighted total/total students
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
The object to hit the ground takes 3.675 seconds.
An initial velocity of 48.6 feet per second
When the object hits the ground, h=0:
h=−16t²+48.6t+37.5
0=−16t²+48.6t+37.5
We have to apply the quadratic formula:
For: ax²+ bx + c
x =[ -b ± √b²-4ac] /2a
Substituting with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
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x^4-7x^2-8=0
a. x = -1, 1, 2 sqrt 2, or -2 sqrt 2
b. x = -i, i, 2 sqrt 2, or -2 sqrt 2
c. x = -1, 1, 2 sqrt 2i, or -2 sqrt 2i
d. x = -i, i, 2 sqrt 2i, or -2 sqrt 2i
Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let . We can now rewrite that polynomial in terms of u:
. Filling into the quadratic formula we have
. Simplifying down
and
or
. That means that u = 8 or u = -1. But don't forget that we let
, so we have to put x-squared back in for u. That gives us
which simplifies down to
. That also gives us
. When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get
. All in all, your solutions are as follows:
which is choice b.
25
625
10
13
The value of m² + n² will be 13 ( option D)
An algebraic expression is a mathematical phrase that combines numbers, variables, and operations like addition, subtraction, multiplication, and division.
It represents a value that can vary depending on the values assigned to the variables. For example, "3x + 5" is an algebraic expression where 'x' is a variable.
The algebraic expression is m² + n² and the value of m and n are given as
m = 2 and n = 3
2² + 3²
= 4 + 9
= 13
Therefore, m² + n² will be 13
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When m = 2 and n = 3, m2 + n2 equals 13.
To find the value of m2 + n2 when m = 2 and n = 3, we substitute the values of m and n into the expression.
So, m2 + n2 = 22 + 32 = 4 + 9 = 13.
Therefore, when m = 2 and n = 3, m2 + n2 equals 13.
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